At 12:24 -0700 9/07/2002, Tim May wrote:
Whether knots are the key to physics, I can't say. Certainly there are suggestive notions that particles might be some kind of knots in spacetime (of some dimensionality)...
Interesting! Chromosomes make knots, also.
But my reading of Louis Kauffman, a great enthusiast and a great
pedagogue,
makes me believe that knots could be much more:
-Knots could be "type" of multiverse!
(multi-histories "skeleton").
Much more:
-Invariant of knots could be quantum statistical abstract
physical theories!
As you know perhaps I get a proof that with the comp hyp, the
mind-body problem
is partially reduced into a derivation of physics from machine's
psychology:
poetically: physical realities is a web of infinite machine
dreams(*).
Machine's psychology can be approximated (at least) by the many
possible
intensionnal (modal) variant of the Godel Lob logic of
Self-reference
(restricted to the \Sigma_1 arithmetical sentences (= genuily
accessible
by the Universal Dovetailer when true)).
This gives the Z logics. Normaly the Z logics should give ... a
skeleton
of physical theories. Knots will perhaps provide the missing
link.
Knots would give a shortcut between comp psychology and
quantum physics (or quantum psychology?).
Toposes and monoidal/braided categories are most probably
important part of the big drama in the middle term run.
Aaaaaaaah... knots are so cute, also :-)
(I'm afraid I am not vaccinated against the mathematical sirens,
perhaps)
-Bruno
(*) IN case you are interested, here are relevant links to a step
by step
version of the basic uda proof (conversation with Joel
Dobrzelewski):
UDA step 1
http://www.escribe.com/science/theory/m2971.html
UDA step 2-6 http://www.escribe.com/science/theory/m2978.html
UDA step 7 8 http://www.escribe.com/science/theory/m2992.html
UDA step 9 10 http://www.escribe.com/science/theory/m2998.html
UDA last question http://www.escribe.com/science/theory/m3005.html
Joel 1-2-3 http://www.escribe.com/science/theory/m3013.html
Re: UDA... http://www.escribe.com/science/theory/m3019.html
George'sigh http://www.escribe.com/science/theory/m3026.html
Re:UDA... http://www.escribe.com/science/theory/m3035.html
Joel's nagging question http://www.escribe.com/science/theory/m3038.html
UDA step 2-6 http://www.escribe.com/science/theory/m2978.html
UDA step 7 8 http://www.escribe.com/science/theory/m2992.html
UDA step 9 10 http://www.escribe.com/science/theory/m2998.html
UDA last question http://www.escribe.com/science/theory/m3005.html
Joel 1-2-3 http://www.escribe.com/science/theory/m3013.html
Re: UDA... http://www.escribe.com/science/theory/m3019.html
George'sigh http://www.escribe.com/science/theory/m3026.html
Re:UDA... http://www.escribe.com/science/theory/m3035.html
Joel's nagging question http://www.escribe.com/science/theory/m3038.html
Re:UDA...
http://www.escribe.com/science/theory/m3042.html